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Simplifying 10x + 27 + -5x + -46 = 32 + 3x + -19 Reorder the terms: 27 + -46 + 10x + -5x = 32 + 3x + -19 Combine like terms: 27 + -46 = -19 -19 + 10x + -5x = 32 + 3x + -19 Combine like terms: 10x + -5x = 5x -19 + 5x = 32 + 3x + -19 Reorder the terms: -19 + 5x = 32 + -19 + 3x Combine like terms: 32 + -19 = 13 -19 + 5x = 13 + 3x Solving -19 + 5x = 13 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -19 + 5x + -3x = 13 + 3x + -3x Combine like terms: 5x + -3x = 2x -19 + 2x = 13 + 3x + -3x Combine like terms: 3x + -3x = 0 -19 + 2x = 13 + 0 -19 + 2x = 13 Add '19' to each side of the equation. -19 + 19 + 2x = 13 + 19 Combine like terms: -19 + 19 = 0 0 + 2x = 13 + 19 2x = 13 + 19 Combine like terms: 13 + 19 = 32 2x = 32 Divide each side by '2'. x = 16 Simplifying x = 16
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